PERTURBATION THEORY OF THE SELF-CONSISTENT FIELD

Abstract

A perturbation theory of the self-consistent field is developed using a Green's function method after the manner of Peng. It is shown that a self- consistent perturbation theory yields the same answers as the conventional random phase approximation. The equivalence of the perturbation approach to spin waves in metals developed by Herring and the random phase approximation for the same problem is seen to be an example of this. The effect of the weak periodic field on a Hartree-Fock electron system is here explicitly done both by the perturbation approach and the random phase approximation with the Green's function approach. The Green's function approach is finally generalized so as to include, in principle, correlations beyond the Hartree-Fock.

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Document Details

Document Type
Technical Report
Publication Date
May 26, 1965
Accession Number
AD0620056

Entities

People

  • A. K. Rajagopal

Organizations

  • Harvard University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Dielectric Permittivity
  • Electron Energy
  • Electron Gas
  • Electrons
  • Energy
  • Engineering
  • Equations
  • Free Electrons
  • Massachusetts
  • Particles
  • Perturbation Theory
  • Perturbations
  • Physics
  • Quantum Mechanics
  • Universities
  • Variational Methods
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene